The von mises ω2-statistic and the bootstrap

A. Y. Lo; V. V. Sazonov

doi:10.1137/1140075

The von mises ω²-statistic and the bootstrap

A. Y. Lo
, V. V. Sazonov

Department of Information Systems, Business Statistics & Operations Management

Research output: Contribution to journal › Journal Article › peer-review

Abstract

The closeness of the distribution functions of the von Mises ω²-statistic for sampling from a continuous distribution-and for sampling from a uniform discrete distribution is estimated. Its relation to the bootstrap is discussed.

Original language	English
Pages (from-to)	653-659
Number of pages	7
Journal	Theory of Probability and its Applications
Volume	40
Issue number	4
DOIs	https://doi.org/10.1137/1140075
Publication status	Published - 1996

Bibliographical note

Publisher Copyright:
© 1996, Society for Industrial and Applied Mathematics Publications. All rights reserved.

Keywords

Bootstrap
Central limit theorem in Hilbert space
Rate of convergence
Von Mises statistic

Access to Document

10.1137/1140075

Cite this

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title = "The von mises ω2-statistic and the bootstrap",

abstract = "The closeness of the distribution functions of the von Mises ω2-statistic for sampling from a continuous distribution-and for sampling from a uniform discrete distribution is estimated. Its relation to the bootstrap is discussed.",

keywords = "Bootstrap, Central limit theorem in Hilbert space, Rate of convergence, Von Mises statistic",

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AU - Lo, A. Y.

AU - Sazonov, V. V.

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N2 - The closeness of the distribution functions of the von Mises ω2-statistic for sampling from a continuous distribution-and for sampling from a uniform discrete distribution is estimated. Its relation to the bootstrap is discussed.

AB - The closeness of the distribution functions of the von Mises ω2-statistic for sampling from a continuous distribution-and for sampling from a uniform discrete distribution is estimated. Its relation to the bootstrap is discussed.

KW - Bootstrap

KW - Central limit theorem in Hilbert space

KW - Rate of convergence

KW - Von Mises statistic

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U2 - 10.1137/1140075

DO - 10.1137/1140075

M3 - Journal Article

SN - 0040-585X

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EP - 659

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

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